Another analogy, is imagine you paint for a hobby. If the price of paint doubles it's not going to double the value of your paintings, you don't realize any of thos gains. You could argue that it's unfair, you didn't ask for the price to increase, you should be able to go to the store with the same amount of money as you used to and buy the paints. But that would be silly, it's not how the world works.
In general people understand that it's not owed to them that everything will continue to work the same way it used to. But for some reason when it comes to home ownership, people think they are buying the right to keep everything about their home and neighborhood exactly the same, even the things that are not just affecting them individually but have a big impact on the rest of the community (like who else can live nearby, how much property tax they should pay, etc.)
I was thinking on the way home that maybe you lock property taxes in but then you have to lock your home price as well, but that probably wouldn’t work.
With respect to your last sentence, I think one of the issues is that we actually mix public policy into home prices. You can’t want a free market and also not want a free market. It seems like many home owners have chosen to not have a free market when it comes to home prices. It’s also not helpful because, like medicine, your home is a big deal. Uprooting you’re family is a big deal. Think about how a family feels if they buy a house, all of a sudden their neighborhood is “cool” and then they have to uproot their family because rich people push them out?
Not a lot of good solutions to a big problem here.
I think this might be an interesting improvement on Proposition 13: you can choose to lock in your low assessed value, but then you have to sell at that assessed value or pay taxes on the difference. This would allow homeowners to opt out of the free market for property tax purposes, but without having their cake and eating it too. I believe cities or the state actually have the authority to impose price controls under the same constitutional authority that allows them to impose rent controls; see https://blog.yonathan.org/posts/2018-09-proposition-10-rent-... for details.